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A129839
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a(n) = Stirling_2(n,3)^2.
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1
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0, 0, 0, 1, 36, 625, 8100, 90601, 933156, 9150625, 87048900, 812307001, 7486748676, 68447640625, 622473660900, 5641104760201, 51003678922596, 460438253730625, 4152386009780100, 37422167780506201, 337103845136750916, 3035761307578140625, 27332814735512302500
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OFFSET
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0,5
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LINKS
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FORMULA
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G.f.: x^3*(1+11*x-36*x^2-36*x^3)/((1-x)*(1-2*x)*(1-3*x)*(1-4*x)*(1-6*x)*(1-9*x)).
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MATHEMATICA
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PROG
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(Sage)[stirling_number2(n, 3)^2for n in range(0, 23)] # Zerinvary Lajos, Mar 14 2009
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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Definition corrected (exponent changed from 3 to 2) by Harvey P. Dale, Jan 03 2013
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STATUS
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approved
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